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Finding the Fourth Proportional to 708.48, 977.67 and 446.58

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Solution

The fourth proportional to 708.48, 977.67 and 446.58 is: 616.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.48 : 977.67 = 446.58 : x
  2. Step 2: Convert to fraction form
    708.48/977.67 = 446.58/x
  3. Step 3: Cross multiply
    708.48x = 977.67 × 446.58
  4. Step 4: Simplify right side
    708.48x = 436,607.87
  5. Step 5: Solve for x
    x = 436,607.87/708.48
  6. Step 6: Final answer
    x = 616.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.